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Finding the Fourth Proportional to 27,518.52, 41,277.78 and 11,091

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Solution

The fourth proportional to 27,518.52, 41,277.78 and 11,091 is: 16,636.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    27,518.52 : 41,277.78 = 11,091 : x
  2. Step 2: Convert to fraction form
    27,518.52/41,277.78 = 11,091/x
  3. Step 3: Cross multiply
    27,518.52x = 41,277.78 × 11,091
  4. Step 4: Simplify right side
    27,518.52x = 457,811,857.98
  5. Step 5: Solve for x
    x = 457,811,857.98/27,518.52
  6. Step 6: Final answer
    x = 16,636.50

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.